A221433 Number of nX3 1..(max n,3) arrays with each row and column having unrepeated values.

6, 12, 12, 576, 66240, 15321600, 5411750400, 2834466324480, 2102110586634240, 2130686007341875200, 2866934087721639936000, 4998512704699099643904000, 11064050379110706817558118400, 30552674703715743883429360435200

Offset: 1

Author

R. H. Hardin Jan 16 2013

Keywords

• nonn

Comments

Column 3 of A221438.

Examples

			Some solutions for n=3
..3..2..1....1..2..3....1..2..3....3..1..2....1..3..2....2..1..3....2..3..1
..2..1..3....2..3..1....3..1..2....2..3..1....3..2..1....3..2..1....1..2..3
..1..3..2....3..1..2....2..3..1....1..2..3....2..1..3....1..3..2....3..1..2
		

References

• RJ Stones, S Lin, X Liu, G Wang, On Computing the Number of Latin Rectangles, Graphs and Combinatorics, Graphs and Combinatorics (2016) 32:1187-1202; DOI 10.1007/s00373-015-1643-1

Links

• R. H. Hardin, Table of n, a(n) for n = 1..58

Crossrefs

Cf. A221438.